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An inequality for sequence transformations

Published online by Cambridge University Press:  26 February 2010

L. S. Bosanquet
L. S. Bosanquet
Affiliation:
University College, London.
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Extract

1.1. Let A = (aμν) be a normal triangular matrix, i.e., one for which aμμ ≠ 0 (μ ≥ 0), aμν = 0 (ν > μ).

where (i) 0≤m<n, (ii) Rμ>0 (μ≥0), (iii) K is a constant, depending on the matrix A and the sequence {Rμ}, but independent of m, n and the finite sequence {sν}.

Type
Research Article
Information
Mathematika , Volume 13 , Issue 1 , June 1966 , pp. 26 - 41
Copyright
Copyright © University College London 1966

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